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Status: Mathematics (2009 - November)
(Text as at 07/12/2009 10:52:19)
*** THIS IS NOT THE LATEST VERSION OF THIS NOTE ***
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Rationale for this Project
This is rather an eccentric activity, which I mentioned briefly in a footnote on focus1 in my Research Proposal2. It is probably an attempt to exorcise some ancient demon – the rather bruising experience of reading mathematics at King’s College Cambridge back in the mid 1970’s. My excuse was that it’s more useful, if less sociable, than playing chess or bridge, to which I might otherwise be tempted. I’ve subsequently been tempted back to bridge and my technical work at HSBC and work on my web-tools3 project means that any further psychological need for technical activities is obviated. However, any modern educated person should be reasonably up to date with the mathematical sciences, and statistical and probability theory are essential tools for evaluating evidence. If only it wasn’t such a difficult subject.
Summary of Progress during November 2009
Some progress this month, at the cost of 8 hours (12.25 hours YTD, where as always in these reports, the “year” is an academic year starting in October 2009).
This month was mostly “philosophy of maths – lite”:-
Items Outstanding for Immediate Progression
- Continue Reading "Brown (James Robert) - Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures".
- Continue Reading "Beals (Richard) - Analysis: An Introduction"; note – do the exercises!
- Write a brief file-note on "Doxiadis (Apostolos) - Uncle Petros and Goldbach's Conjecture", and
- Complete reading "Doxiadis (Apostolos) & Papadimitriou (Christos H.) - Logicomix: An Epic Search for Truth".
Items for Progression in the 2009/10 Academic Year
- Complete reading "Brown (James Robert) - Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures", and write a file note.
- Complete reading "Beals (Richard) - Analysis: An Introduction"; note – do the exercises!
- Read & write file-note on "Doxiadis (Apostolos) - Uncle Petros and Goldbach's Conjecture".
- Read & write file-note on "Doxiadis (Apostolos) & Papadimitriou (Christos H.) - Logicomix: An Epic Search for Truth".
- Complete the answers4 to the problem-set in “advanced elementary” mathematics associated with the King’s Mathematics Reunion in January 2009.
- Read, and thoroughly internalise, "Bais (Sander) - Very Special Relativity: An Illustrated Guide". This is worth reading, as a refresher, since an understanding of time is a prerequisite for a full understanding of persistence, which is itself a prerequisite for understanding questions of identity, in particular personal identity, the topic of my intended Thesis5. And, naturally, an understanding of relativity theory is essential for a proper understanding of time. If that’s how time works, then philosophers better believe it. Since Special Relativity is (or was) a Cambridge mathematics first-term course, the fact that I’ve still not thoroughly grasped it shows up my mathematical abilities for what they are, sadly. I intend to get to grips with relativity (special and general) as a medium-term project.
- Review probability theory for general philosophical purposes, and as an aid to Bridge.
- Complete the lecture series "Shankar (Ramamurti) - Fundamentals of Physics", in conjunction with the exercises and reading "Wolfson (Richard) & Pasachoff (Jay M.) - Physics with Modern Physics". I need to take the mathematics seriously for the course to be worth following.
- Repeat "Bailyn (Charles) - Frontiers and Controversies in Astrophysics", this time doing the exercises – without doing these, understanding is at best incomplete.
Items for Progression in the Longer Term
- Read "French (A.P.) - Special Relativity".
- Read "Rindler (Wolfgang) - Introduction to Special Relativity".
- Read "Schutz (Bernard) - A First Course in General Relativity".
- Read "Misner (Charles W.), Thorne (Kip S.) & Wheeler (John Archibald) - Gravitation".
- Write a brief paper6 summarising the epistemological benefits of elementary mathematics when applied to the raw observational data.
- Re-start and complete the first-year course on discrete mathematics from the LSE.
- Based on success in the above endeavours, decide whether to take serious study any further.
Summary of Progress to Date
- I have downloaded a variety of course-material from the websites of various London Colleges, together with stuff from the Oxford and Cambridge websites, focusing on those courses having exercises with worked examples. I’ve also dusted off my old notes, which seem to have been written by someone else.
- As a warm-up exercise, I started a first-year course on discrete mathematics from the LSE.
- Listened to the Open Yale course "Bailyn (Charles) - Frontiers and Controversies in Astrophysics".
- Read "Doxiadis (Apostolos) - Uncle Petros and Goldbach's Conjecture".
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Live Version of this Archived Note
Table of 12 Earlier Versions of this Note (of 25)
Table of 12 Later Versions of this Note (of 48)
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| 07/12/2009 10:52:19 |
517 (Status: Mathematics (2009 - November)) |
Status: Summary (2026 - June) |
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